\(L^{q}\)-perturbations of leading coefficients of elliptic operators: Asymptotics of eigenvalues

DOI10.1155/AAA/2006/26845zbMath1162.35436MaRDI QIDQ2472112

Yanyan Li

Publication date: 20 February 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55452

zbMATH Keywords

asymptotics of eigenvaluessmall perturbations

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbations in context of PDEs (35B20) Higher-order elliptic equations (35J30)

Related Items (4)

On the Hadamard Formula for Second Order Systems in Non-Smooth Domains ⋮ Domain dependence of eigenvalues of elliptic type operators ⋮ The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary ⋮ On differentiability of eigenvalues of second order elliptic operators on non-smooth domains

Cites Work

• Spectral theory and complex interpolation
• A distance between orbits that controls commutator estimates and invertibility of operators.
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
• Stability of Fredholm properties on interpolation scales
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